The barotropic compressible NavierαStokes equations in an unbounded domain Ε½ . Ε½ . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an
Numerical solution of the heat equation with nonlinear boundary conditions in unbounded domains
β Scribed by Miglena Koleva; Lubin Vulkov
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 240 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A finite difference solution for the transient nonlinear heat conduction equation in a finite slab with a radiation boundary condition is proposed. An implicit finite difference approximation is used which enables accurate estimation of the surface temperature as well as prevention of oscillation of
## Abstract The existence of travelling wave solutions for the heat equation β~__t__~ __u__ βΞ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (β__u__ /β__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin